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Finding the Fourth Proportional to 1,779.04, 2,455.10 and 982.47

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Solution

The fourth proportional to 1,779.04, 2,455.10 and 982.47 is: 1,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.04 : 2,455.10 = 982.47 : x
  2. Step 2: Convert to fraction form
    1,779.04/2,455.10 = 982.47/x
  3. Step 3: Cross multiply
    1,779.04x = 2,455.10 × 982.47
  4. Step 4: Simplify right side
    1,779.04x = 2,412,062.10
  5. Step 5: Solve for x
    x = 2,412,062.10/1,779.04
  6. Step 6: Final answer
    x = 1,355.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.